If we imagine scaling down the Sun to the size of a banana while keeping the same proportions, the size of the Sun would be significantly smaller. The actual size of a banana can vary, but let's assume an average banana length of about 7-8 inches (18-20 cm). In this scenario, the Sun would have a diameter of approximately 7-8 inches as well.
With such a small size for the Sun, its gravitational pull would decrease dramatically. The gravitational force between two objects depends on their masses and the distance between them. If the Sun's mass were scaled down while keeping the same density, its gravitational pull would be much weaker.
As a result, the planets in our solar system, including Earth, would not be able to orbit a miniature banana-sized Sun. Their orbits are determined by the gravitational force exerted by the Sun, and with a significantly reduced gravitational pull, the planets would likely disperse into space or drift away.
Regarding humans on Earth, the change in the Sun's size and gravitational pull would have significant implications. The Sun plays a crucial role in our planet's climate and ecosystems. If the Sun were the size of a banana, it would not emit sufficient energy and light to sustain life on Earth as we know it. The Earth would become extremely cold, and the lack of sunlight would hinder photosynthesis, impacting the entire food chain.
In summary, if the Sun were the size of a banana, the planets in our solar system, including Earth, would not survive its reduced gravitational pull, and the conditions necessary for human life would not be sustainable on Earth.